Physics
Scientific paper
Aug 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975icar...25..545b&link_type=abstract
Icarus, vol. 25, Aug. 1975, p. 545-554.
Physics
9
Angular Momentum, Asteroids, Gravitational Effects, Rotating Bodies, Solar System, Celestial Bodies, Centrifugal Force, Planetary Mass, Residual Stress, Spin Dynamics
Scientific paper
Spin angular momentum is plotted against mass for the planets and all asteroids with known rotation rates and shapes. The resulting curve indicates that the asteroids and most planets spin with nearly the same rate and that very small asteroids contain excess angular momentum, suggesting that collisions have transferred substantial angular momentum to the smallest asteroids. Gravitational forces are compared to centrifugal effects in the case of a rotating triaxial ellipsoid with a density of 3 g/cu cm. It is shown that gravitational attraction is larger than centrifugal acceleration for all asteroids with known properties and that observed asteroid regoliths are gravitationally bound. Using mathematical and physical arguments, it is demonstrated that any arbitrarily shaped ellipsoid with this attractive-surface-force boundary condition will have only attractive internal forces. This result indicates that the internal stress states of asteroids are always compressive and that asteroids could be fractured internally without losing their integrity.
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